Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5389, 5396 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5389 and 5396 is 1.
GCF(5389,5396) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5389
17 | 5389 |
317 | 317 |
1 |
Prime factors of 5389 are 17,317. Prime factorization of 5389 in exponential form is:
5389 = 171×3171
Prime Factorization of 5396
2 | 5396 |
2 | 2698 |
19 | 1349 |
71 | 71 |
1 |
Prime factors of 5396 are 2,19,71. Prime factorization of 5396 in exponential form is:
5396 = 22×191×711
∴ So by taking common prime factors GCF of 5389 and 5396 is 1
Factors of 5389
List of positive integer factors of 5389 that divides 5389 without a remainder.
1,17,317,5389
Factors of 5396
List of positive integer factors of 5396 that divides 5396 without a remainder.
1,2,4,19,38,71,76,142,284,1349,2698,5396
Greatest Common Factor
We found the factors and prime factorization of 5389 and 5396. The biggest common factor number is the GCF number.
So the greatest common factor 5389 and 5396 is 1.
Also check out the Least Common Multiple of 5389 and 5396
(i) The GCF of 5389 and 5396 is associative
GCF of 5389 and 5396 = GCF of 5396 and 5389
1. What is the GCF of 5389 and 5396?
Answer: GCF of 5389 and 5396 is 1.
2. What are the Factors of 5389?
Answer: Factors of 5389 are 1, 17, 317, 5389. There are 4 integers that are factors of 5389. The greatest factor of 5389 is 5389.
3. What are the Factors of 5396?
Answer: Factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396. There are 12 integers that are factors of 5396. The greatest factor of 5396 is 5396.
4. How to Find the GCF of 5389 and 5396?
Answer:
Greatest Common Factor of 5389 and 5396 = 1
Step 1: Find the prime factorization of 5389
5389 = 17 x 317
Step 2: Find the prime factorization of 5396
5396 = 2 x 2 x 19 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 5389 and 5396 is 1